Quantifiers in language and logic

Bibliographic Information

Quantifiers in language and logic

Stanley Peters, Dag Westerståhl

Clarendon, 2006

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Includes references and indexes

Description and Table of Contents

Description

Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role. Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basic knowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.

Table of Contents

  • I. THE LOGICAL CONCEPTION OF QUANTIFIERS AND QUANTIFICATION
  • II. QUANTIFIERS OF NATURAL LANGUAGE
  • III. BEGINNINGS OF A THEORY OF EXPRESSIVENESS, TRANSLATION, AND FORMALIZATION
  • IV. LOGICAL RESULTS OF EXPRESSIBILITY WITH LINGUISTIC APPLICATIONS

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